1. Consider the vectors ữ = (-1,–1), ở= (1,2) and w (3, a). (a) Find the resultant of ū and ū. (b) Find the values of a for which ữ is parallel or is perpendicular to w. (c) Calculate the angle between u and .
1. Consider the vectors ữ = (-1,–1), ở= (1,2) and w (3, a). (a) Find the resultant of ū and ū. (b) Find the values of a for which ữ is parallel or is perpendicular to w. (c) Calculate the angle between u and .
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1.
Consider the vectors ū
= (-1, –1), ở = (1,2) and w = (3, a).
|
(a) Find the resultant of u and u.
(b) Find the values of a for which i is parallel or is perpendicular to w.
(c) Calculate the angle between u and v.
(d) If A, B and C are points with position vectors ū, i and w (with respect to the origin
(0,0,0)), respectively, find a point D so that [ABCD] gives a parallelogram (with
vertices labelled clockwise).
6.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb3eb6f5-ad7a-4565-9bbe-4e7695b0b0f2%2F7bc37150-1d6a-474c-ba6a-98abb35b015b%2Fo5qh3z7_processed.png&w=3840&q=75)
Transcribed Image Text:1.
Consider the vectors ū
= (-1, –1), ở = (1,2) and w = (3, a).
|
(a) Find the resultant of u and u.
(b) Find the values of a for which i is parallel or is perpendicular to w.
(c) Calculate the angle between u and v.
(d) If A, B and C are points with position vectors ū, i and w (with respect to the origin
(0,0,0)), respectively, find a point D so that [ABCD] gives a parallelogram (with
vertices labelled clockwise).
6.
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